1013311123133 has 2 divisors, whose sum is σ = 1013311123134. Its totient is φ = 1013311123132.

The previous prime is 1013311123061. The next prime is 1013311123147. The reversal of 1013311123133 is 3313211133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 722027477284 + 291283645849 = 849722^2 + 539707^2 .

It is an emirp because it is prime and its reverse (3313211133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013311123133 - 2²⁶ = 1013244014269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013311123099 and 1013311123108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013311126133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506655561566 + 506655561567.

It is an arithmetic number, because the mean of its divisors is an integer number (506655561567).

Almost surely, 2^{1013311123133} is an apocalyptic number.

It is an amenable number.

1013311123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013311123133 is an equidigital number, since it uses as much as digits as its factorization.

1013311123133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1013311123133 its reverse (3313211133101), we get a palindrome (4326522256234).

The spelling of 1013311123133 in words is "one trillion, thirteen billion, three hundred eleven million, one hundred twenty-three thousand, one hundred thirty-three".